Anti-synchronization of fractional-order chaotic complex systems with unknown parameters via adaptive control


Cuimei Jiang - School of Science, Qilu University of Technology, Jinan, Shandong 250353, P. R. China
Fangfang Zhang - School of Electrical Engineering and Automation, Qilu University of Technology, Jinan, Shandong 250353, P. R. China
Haiyong Qin - School of Mathematics, Qilu Normal University, Jinan, Shandong 250013, P. R. China
Tongxing Li - School of Information Science and Engineering, Linyi University, Linyi, Shandong 276005, P. R. China


This paper is concerned with adaptive control for anti-synchronization of a class of uncertain fractional-order chaotic complex systems described by a unified mathematical expression. By utilizing the recently established result for the Caputo fractional derivative of a quadratic function and employing the adaptive control technique, we design controllers and some fractional-order parameter update laws to anti-synchronize two fractional-order chaotic complex systems with unknown parameters. The proposed method has generality, simplicity, and feasibility. Moreover, anti-synchronization between uncertain fractional-order complex Lorenz system and fractional-order complex Lu system is implemented as an example to demonstrate the effectiveness and feasibility of the proposed scheme.


Adaptive control, anti-synchronization, fractional-order chaotic complex system, quadratic Lyapunov function


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